1,225 research outputs found
Quantum control theory and applications: A survey
This paper presents a survey on quantum control theory and applications from
a control systems perspective. Some of the basic concepts and main developments
(including open-loop control and closed-loop control) in quantum control theory
are reviewed. In the area of open-loop quantum control, the paper surveys the
notion of controllability for quantum systems and presents several control
design strategies including optimal control, Lyapunov-based methodologies,
variable structure control and quantum incoherent control. In the area of
closed-loop quantum control, the paper reviews closed-loop learning control and
several important issues related to quantum feedback control including quantum
filtering, feedback stabilization, LQG control and robust quantum control.Comment: 38 pages, invited survey paper from a control systems perspective,
some references are added, published versio
Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases
For a quantum gas, being subject to continuous feedback of a macroscopic
observable, the single-particle dynamics is studied. Albeit feedback-induced
particle correlations, it is shown that analytic solutions are obtained by
formally extending the single-particle Hilbert space by an auxiliary degree of
freedom. The particle's motion is then fed by colored noise, which effectively
maps quantum-statistical correlations onto the single particle. Thus, the
single particle in the continuously controlled gas follows a non-Markovian
trajectory in phase-space.Comment: 5 pages, 2 figures, accepted for publication in Phys. Rev. Let
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